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Simplifying -3v + -17 = 2(v + 9) Reorder the terms: -17 + -3v = 2(v + 9) Reorder the terms: -17 + -3v = 2(9 + v) -17 + -3v = (9 * 2 + v * 2) -17 + -3v = (18 + 2v) Solving -17 + -3v = 18 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -17 + -3v + -2v = 18 + 2v + -2v Combine like terms: -3v + -2v = -5v -17 + -5v = 18 + 2v + -2v Combine like terms: 2v + -2v = 0 -17 + -5v = 18 + 0 -17 + -5v = 18 Add '17' to each side of the equation. -17 + 17 + -5v = 18 + 17 Combine like terms: -17 + 17 = 0 0 + -5v = 18 + 17 -5v = 18 + 17 Combine like terms: 18 + 17 = 35 -5v = 35 Divide each side by '-5'. v = -7 Simplifying v = -7
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